Math, asked by sherlysujith146, 11 hours ago

plz tell the answer please ​

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Answers

Answered by archnaBHAVSAR
0

Step-by-step explanation:

15q + 18 + 3q = 180 ( angle in linear pair )

18q + 18 = 180

18q = 180 - 18

18 q = 162

q = 162 / 18

q = 9

1st angle = 15q+18 = 15x9+18 = 153

2nd angle = 3q = 3x9 = 27

Answered by ItzBrainlyLords
9

Solution

 \large \rm \: line \:  \: utv = 180 \degree \\  \:  \:  \:  \:  \:   (linear \:  \: pair) \\

So,

 \\  \:  \:  \:  \:  \large \sf \:  \leadsto \:  \: 3q + 15q + 18 = 180 \degree \\  \\  \large \sf \implies \: 18q + 18 = 180 \degree \\  \\  \large \sf \implies \: 18q = 180 \degree - 18 \\  \\  \large \sf \implies18q = 162 \degree\\  \\  \large \sf \implies \: q =  \frac{162 \degree}{18}  \\  \\

 \large \tt \therefore \:  \: value \:  \: of :  \:    \\  \:  \:  \:  \:  \:  \large\underline{ \boxed{ \sf \: q = 9 \degree}} \\  \\

Finding measure of angles :

  \\  \large \rm \mapsto \:  3q = 3(9 \degree) =  \boxed{ \sf \: 27 \degree} \\    \\  \large \rm \mapsto \:  15q  + 18= 15(9 \degree) + 18  \\ \\ \large \rm  =135 \degree  + 18 =  \boxed{ \sf \: 153 \degree} \\

__________________________________

 \\  \large \sf \star \underline{ \underline{ \: answers : }} \\

  • p = 9°

  • angle STU = 27°

  • angle STV = 153°

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